ABC26GN5270 · Permutations and Combinations
Subject: General Aptitude · Chapter: Permutations and Combinations · Exam: · Marks: · Difficulty:
Evaluate : (i) ${ }^{5} P_{5}$ (ii) ${ }^{50} P_{3}$
Answer
Explanation
(i) ${ }^{5} P_{5}=(5 \times 4 \times 3 \times 2 \times 1)=120$. (ii) ${ }^{50} P_{3}=\frac{\lfloor 50}{\lfloor(50-3)}=\frac{\lfloor 50}{\lfloor 47}=\frac{50 \times 49 \times 48 \times(\lfloor 47)}{\lfloor 47}=(50 \times 49 \times 48)=117600$.
Explanation as extracted from the printed page; notation may be imperfect.
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